Mathematics / Mathematics (Extended Module 2)

Learning objectives

The aims of the mathematics curriculum are to develop in students: 

  • the ability to think critically and creatively, to conceptualize, inquire and reason mathematically, and to use mathematics to formulate and solve problems in daily life as well as in mathematical contexts and other disciplines;
  • the ability to communicate with others, express their views clearly and logically in mathematical language;
  • the ability to manipulate numbers, symbols and other mathematical objects;
  • number sense, symbol sense, spatial sense, measurement sense and the capacity to appreciate structures and patterns; and
  • a positive attitude towards mathematics learning and an appreciation of the aesthetic nature and cultural aspect of mathematics.



To develop students’ ability to conceptualize inquire, reason, communicate, formulate and solve problems mathematically; and their capability of appreciating the aesthetic nature and cultural aspects of mathematics.


Our Team:

Name of subject teachers

Level(s) taught

Mr. Current Chan

S1, S1EE, S3

Mr. Hensel Cheung (Department Head)

S4M2, S5, S6

Ms. Carmen Choy

S2, S4, S6

Mr. Vincent Chung


Mr. Billy Hui (Assistant Department Head)

S1EE, S3, S4, S5, S5M2

Mr. KY Law

S3, S4, S6, S6M2 

Ms. Emmy Lou

S1, S5

Ms. Maggie Wong

S1, S1EE, S3, S5, S5EE, S6EE

Ms. Crystal Yu

S1, S2, S6

EE: enrichment and enhancement lessons



  1. Enhancing Curriculum Leadership and Learning & Teaching Effectiveness

  • Extended Curriculum on “Big Data” for S4 students


  • Reading across Curriculum for S1-S3 students


  • reading articles on interesting Math for S1-S2 students
  • multi-modal set texts on daily-life applications of Math and women mathematicians for S3 students


  • Curriculum mapping with Science Department on graph plotting and data handling in S1-S2 


  1. Catering Learning Diversity

  • Mathematics Olympiad Training Course and University Enrichment Programmes for Math-gifted students


  • Inter-school Mathematics and Statistics competitions

    • Huaxiabei National Mathematics Olympics Invitation Competition 

    • True Light Girls’ Invitational Mathematics Contest

    • Hong Kong Youth Mathematical Achievers Selection Contest

    • Hong Kong Mathematics Creative Problem Solving Competition for Secondary Schools

    • Pui Ching Invitational Mathematics Competition

    • Asia International Mathematical Olympiad Open Contest 

    • Hong Kong International Mathematical Olympiad

    • The Hong Kong Youth Mathematical Challenge

    • Statistical Project Competition for Secondary School Students

  • S1-S6 Math Enrichment and Enhancement Lessons/ Classes


  1. Learning Mathematics Beyond Lessons 

  • Newsletters published with Interesting Math and contents of National Security Education included 


  • Inter-class Math Quiz Competitions and Math Days/ Week

  • Mathematics thematic talks

  • Statistics Talk
  • Math study skills sharing by alumni



  1. Professional Development for Mathematics Teachers

  • School-based support service on "Enhancing learning and teaching effectiveness using student-centred teaching strategies" (EDB)

  • School-based support on "Developing curriculum materials and teaching strategies to enhance teaching Math in the English medium” (HKPolyU)

  • In-service teacher training course on "Teaching Mathematics in the English medium” (HKU)


  • In-house lesson study on using effective language in teaching Mathematics with English Department



Junior and Senior Secondary Mathematics Curriculum

  • A: Number and Algebra Strand

  • S: Measures, Shape and Space Strand

  • D: Data Handling Strand


  1. Basic Computation (A)

  2. Directed Numbers (A)

  3. Basic Algebra (A)

  4. Percentages (A)

  5. Basic Geometry (S)

  6. Mensuration (S)

  7. Rectangular Coordinate System (S)

  8. Angles and Parallel Lines (S)

  9. Congruence and Similarity (S)

  10. Numerical Estimation (A)

  11. Organization and Presentation of Data (D)


  1. Organization and Presentation of Data (D)

  2. Operations and Factorization of Polynomials (A)

  3. Identities (A)

  4. Algebraic Fractions and Formulae (A)

  5. Linear Equations in Two Unknowns (A)

  6. Approximation and Errors (A)

  7. Angles and Parallel Lines (S)

  8. Congruence and Similarity (S)

  9. Rates, Ratios and Proportions (A)

  10. Polygons (S)

  11. Pythagoras’ Theorem and Irrational Numbers (S) 

  12. Mensuration (S)

  13. Introduction of Trigonometry (S)


  1. More about Factorization (A)

  2. Laws of Integral Indices (A)

  3. Percentages (A)

  4. Linear Inequalities in One Unknown (A)

  5. Measures of Central Tendency (D)

  6. Probability (D)

  7. More about Triangles (S)

  8. More about 3D Figures (S)

  9. Mensuration (S)

  10. Rectangular Coordinate System (S)

  11. Trigonometric Relations (S)

  12. Applications in Trigonometry (S)

  13. Quadrilaterals (S)


  1. Number Systems (A)

  2. Equations of Straight Lines (S)

  3. Quadratic Equations in One Unknown (A)

  4. Knowledge of Functions (A)

  5. Quadratic Functions (A)

  6. More about Polynomials (A)

  7. Rational Functions (A)

  8. Exponential Functions (A)

  9. Logarithmic Functions (A)

  10. Properties of Circles (S)

  11. Trigonometry (S)


  1. More about Equations (A)

  2. Inequalities in One Unknown (A)

  3. Variations (A)

  4. Equations of Circles (S)

  5. Locus (S)

  6. Solving Triangles (S)

  7. Applications of Trigonometry (S)

  8. Measures of Dispersion (D)

  9. More about Dispersion (D)

  10. Permutation and Combination (D)

  11. More about Probability (D)


  1. More about Graphs of Functions (A)

  2. Arithmetic Sequences (A)

  3. Geometric Sequences (A)

  4. Linear Inequalities in Two Unknowns and Linear Programming (A)


Senior Secondary Extended Part Module 2 (Algebra and Calculus) Curriculum

  • F: Foundation Knowledge

  • C: Calculus

  • A: Algebra

S4 Extended Part Module 2

  1. Surds and Summation Notation (F)

  2. Mathematical Induction (F)

  3. Binomial Theorem (F)

  4. More about Trigonometric Functions (F)

  5. Odd and Even Functions (F)

  6. Limits and the Number e (F/C)

  7. Differentiation (C)

  8. Applications of Differentiation (C)

S5 Extended Part Module 2

  1. Applications of Differentiation (C)

  2. Indefinite Integration (C)

  3. Definition Integration (C)

  4. Applications of Definite Integration (C)

  5. Matrices and Determinants (A)

S6 Extended Part Module 2

  1. Systems of Linear Equations (A)

  2. Introduction to Vectors (A)

  3. Scalar Products and Vector Products (A)


Learning resources

  1. Identities for reviewing junior and senior-form Math concepts

  2. Desmos

  3. GeoGebra 

  4. GeoGebra Resources 

  5. Calculator Tips 


  7. Mathland 昌爸工作坊 

  8. QuickMath

  9. Maths Online

  10. Wolfram MathWorld

  11. MathsNet

  12. Free Math Help

13.  Interactive Mathematics Miscellany and Puzzles